一类具有收获率的食饵-捕食扩散模型分析  

Analysis of a Prey-predator Model with Migration and Harvesting

作　　者：孙军芳[1] 张睿[1] 陈红兵[2] 杨丽新[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070 [2]天水师范学院数理与信息科学学院,甘肃天水741001

出　　处：《兰州交通大学学报》2008年第1期144-146,共3页Journal of Lanzhou Jiaotong University

摘　　要：考虑了一类食饵种群分布在2个斑块:一个斑块上食饵和捕食者相互作用且对2种群都进行捕获,而另一个斑块属于食饵保护区,没有捕食者进入且不允许对食饵种群进行捕获,食饵种群可以在两个斑块间进行扩散的食饵-捕食模型.讨论了平衡点的存在性,证明了平衡点的局部渐近稳定性和全局渐近稳定性.A prey-predator system with prey dispersal in a two-patch environment is mainly considered. One is assumed to be a free harvesting zone where interaction between prey and predator is existent, and prey and predator are harvested; the other is a reserved zone where harvesting to prey is prohibited and no predator. Also, prey can migrate between the two-patch. The existence of equilibrium of the system is discussed. The local and global asymptotically stability analysis has been carried out.

关 键 词：食饵-捕食 平衡点 全局稳定 

分 类 号：O175.1[理学—数学]